We prove an extension to the finitely additive setting of the theorem of Halmos and Savage. From this we deduce extensions of classical results of Drewnowski and of Yan as well as a new characterization of weak compactness in the space of finitely additive set functions.
Cassese, G. (2016). The theorem of Halmos and Savage under finite additivity. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 437(2), 870-881 [10.1016/j.jmaa.2016.01.034].
The theorem of Halmos and Savage under finite additivity
CASSESE, GIANLUCA
Primo
2016
Abstract
We prove an extension to the finitely additive setting of the theorem of Halmos and Savage. From this we deduce extensions of classical results of Drewnowski and of Yan as well as a new characterization of weak compactness in the space of finitely additive set functions.
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